Details

Time bar (total: 22.8s)

sample36.0ms

Algorithm
intervals
Results
12.0ms256×pre80true
11.0ms256×body80valid

simplify157.0ms

Calls
1 calls:
Slowest
157.0ms
(* (+ a (+ b (+ c d))) 2)

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize14.0ms

Local error

Found 2 expressions with local error:

2.7b
(+ a (+ b (+ c d)))
0.4b
(+ b (+ c d))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
2×add-sqr-sqrt pow1 +-commutative associate-+r+ *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16 add-log-exp
Calls
2 calls:
Slowest
1.0ms
(+ a (+ b (+ c d)))
1.0ms
(+ b (+ c d))

series31.0ms

Calls
2 calls:
Slowest
21.0ms
(+ a (+ b (+ c d)))
10.0ms
(+ b (+ c d))

simplify69.0ms

Calls
7 calls:
Slowest
12.0ms
(+ b (+ c d))
11.0ms
(+ b (+ c d))
11.0ms
(+ b (+ c d))
11.0ms
(+ b (+ c d))
10.0ms
(+ a (+ b c))

prune200.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.2b

localize10.0ms

Local error

Found 1 expressions with local error:

2.7b
(+ a (+ (+ b c) d))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt pow1 +-commutative associate-+r+ *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16 add-log-exp
Calls
1 calls:
Slowest
3.0ms
(+ a (+ (+ b c) d))

series22.0ms

Calls
1 calls:
Slowest
22.0ms
(+ a (+ (+ b c) d))

simplify34.0ms

Calls
3 calls:
Slowest
11.0ms
(+ b (+ c d))
11.0ms
(+ b (+ c d))
11.0ms
(+ a (+ b c))

prune107.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.0b

localize10.0ms

Local error

Found 4 expressions with local error:

2.7b
(+ a (+ (+ b c) d))
2.7b
(+ a (+ (+ b c) d))
2.7b
(+ a (+ (+ b c) d))
0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
30×flip3-+ flip-+
28×frac-times
26×cbrt-div
14×associate-*l/
8×associate-*r/
4×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 add-log-exp
3×+-commutative associate-+r+
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Calls
4 calls:
Slowest
18.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
4.0ms
(+ a (+ (+ b c) d))
3.0ms
(+ a (+ (+ b c) d))
3.0ms
(+ a (+ (+ b c) d))

series107.0ms

Calls
4 calls:
Slowest
45.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
22.0ms
(+ a (+ (+ b c) d))
20.0ms
(+ a (+ (+ b c) d))
20.0ms
(+ a (+ (+ b c) d))

simplify8.1s

Calls
39 calls:
Slowest
606.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
471.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
413.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
400.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
390.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d)))))

prune739.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 1.5b

localize14.0ms

Local error

Found 4 expressions with local error:

2.7b
(+ a (+ (+ b c) d))
2.7b
(+ a (+ (+ b c) d))
2.7b
(+ (+ a (+ b c)) d)
0.6b
(cbrt (* (* (+ (+ a (+ b c)) d) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
30×flip3-+ flip-+
28×frac-times
26×cbrt-div
14×associate-*l/
8×associate-*r/
4×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 add-log-exp
3×+-commutative
2×associate-+r+
1×cbrt-prod associate-+l+ pow1/3
Calls
4 calls:
Slowest
20.0ms
(cbrt (* (* (+ (+ a (+ b c)) d) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
4.0ms
(+ (+ a (+ b c)) d)
3.0ms
(+ a (+ (+ b c) d))
3.0ms
(+ a (+ (+ b c) d))

series136.0ms

Calls
4 calls:
Slowest
73.0ms
(cbrt (* (* (+ (+ a (+ b c)) d) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
23.0ms
(+ a (+ (+ b c) d))
20.0ms
(+ a (+ (+ b c) d))
20.0ms
(+ (+ a (+ b c)) d)

simplify9.7s

Calls
39 calls:
Slowest
523.0ms
(cbrt (* (* (- (* (+ a (+ b c)) (+ a (+ b c))) (* d d)) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
495.0ms
(cbrt (* (* (+ (+ a (+ b c)) d) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
479.0ms
(cbrt (* (* (+ (pow (+ a (+ b c)) 3) (pow d 3)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
460.0ms
(cbrt (* (* (- (* (+ a (+ b c)) (+ a (+ b c))) (* d d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
458.0ms
(cbrt (* (* (+ (pow (+ a (+ b c)) 3) (pow d 3)) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))

prune721.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 1.1b

regimes1.2s

Accuracy

0% (1.6b remaining)

Error of 2.7b against oracle of 1.2b and baseline of 2.7b

bsearch3.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
726.0ms8000×pre80true
367.0ms8000×body80valid